Greatest Common Factor of 1064 and 1066

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Make use of GCF Calculator to quickly find the Greatest Common Factor of numbers 1064, 1066 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1064 and 1066 is 2.

GCF(1064,1066) = 2

GCF of 1064 and 1066

Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;

GCF of:
and

Greatest Common Factor of 1064 and 1066

GCF of 1064 and 1066 is 2

Prime Factorization of 1064


2 1064
2 532
2 266
7 133
19 19
1

Prime factors of 1064 are 2,7,19. Prime factorization of 1064 in exponential form is:

1064 = 23×71×191

Prime Factorization of 1066


2 1066
13 533
41 41
1

Prime factors of 1066 are 2,13,41. Prime factorization of 1066 in exponential form is:

1066 = 21×131×411

∴ So by taking common prime factors GCF of 1064 and 1066 is 2

Greatest Common Factor of 1064 and 1066 by matching factors method

Factors of 1064

List of positive integer factors of 1064 that divides 1064 without a remainder.

1,2,4,7,8,14,19,28,38,56,76,133,152,266,532,1064

Factors of 1066

List of positive integer factors of 1066 that divides 1066 without a remainder.

1,2,13,26,41,82,533,1066

Greatest Common Factor

We found the factors and prime factorization of 1064 and 1066. The biggest common factor number is the GCF number.
So the greatest common factor 1064 and 1066 is 2.

Also check out the Least Common Multiple of 1064 and 1066

Properties of GCF 1064 and 1066

(i) The GCF of 1064 and 1066 is associative

GCF of 1064 and 1066 = GCF of 1066 and 1064

Related Greatest Common Factor of 1064

Related Greatest Common Factor of 1066

Frequently Asked Questions on GCF of 1064 and 1066

1. What is the GCF of 1064 and 1066?

Answer: GCF of 1064 and 1066 is 2.

2. What are the Factors of 1064?

Answer: Factors of 1064 are 1, 2, 4, 7, 8, 14, 19, 28, 38, 56, 76, 133, 152, 266, 532, 1064. There are 16 integers that are factors of 1064. The greatest factor of 1064 is 1064.

3. What are the Factors of 1066?

Answer: Factors of 1066 are 1, 2, 13, 26, 41, 82, 533, 1066. There are 8 integers that are factors of 1066. The greatest factor of 1066 is 1066.

4. How to Find the GCF of 1064 and 1066?

Answer:

Greatest Common Factor of 1064 and 1066 = 2

Step 1: Find the prime factorization of 1064

1064 = 2 x 2 x 2 x 7 x 19

Step 2: Find the prime factorization of 1066

1066 = 2 x 13 x 41

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 2

Step 4: Therefore, the greatest common factor of 1064 and 1066 is 2